This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped par Tutorial Exercise Use continuity to evaluate the limit. lim x√ 41 - x² X-4 Step 1 Recall that a function f is continuous at a number a if the following holds, where f(a) is defined (that is, a is in the domain of f) and lim f(x). x→a lim_ f(x) = f(a) x→a Note that the function f(x)=x√ 41 - x² has the following domain and is continuous on this domain. 41 41 ≤ x ≤ 41✔✔ 41 Therefore, a = 4 is in the domain of f, so f(a) defined. Step 2 We now need to determine if lim f(x) exists. We check this using direct substitution. lim x√√41 - x² = 41-4² X→ 4 = We can conclude that lim f(x) ---Select--- x→a Submit Skip (you cannot come back) e+x

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